Numerade

Questions asked

BEST MATCH

Scientific explanations are superior to those based on belief for questions that: are broad and generally defined. can be addressed by mutual agreement of authoritative sources. can be addressed with objective observation. cannot be addressed with objective observation.

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Empirical Laws and Curve Fitting $ \quad \mathbf{1 . 1 7} $ Find the best values of $ a, b $ and $ c $ using the method of group averages. 7. Fit a curve of the form $ y=a+b x^{c} $ to the following data using the method of group averages. \begin{tabular}{|lllllll|} \hline$ x $ & 1 & 2 & 4 & 6 & 10 & 16 \\ \hline$ y $ & 15 & 45 & 165 & 364 & 1004 & 2564 \\ \hline \end{tabular}

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A harmonic oscillato r has angular frequency \omega and amplitude How often does this occur in each cycle? Express your answer as an integer.

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Show that \begin{equation*} |1+z| = \sqrt{1+2rcos\theta+r^2} \quad where \quad z = re^{i\theta} \end{equation*}

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11. Zinc metal has a specific heat capacity of 0.388J/g°C. If 5.26g of Zinc, with a temperature of 60°C, was placed in a calorimeter with 50.0 grams of water. If the final temperature of the water was 27.5°C, what will be the initial temperature of the water in the calorimeter?

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(1 point) Compute the Jacobian for the change of variables into spherical coordinates: $x = \rho \sin\phi \cos\theta$, $y = \rho \sin\phi \sin\theta$, $z = \rho \cos\phi$. $\left| \frac{\partial(x, y, z)}{\partial(\rho, \phi, \theta)} \right| =$ (Use rho for $\rho$, phi for $\phi$, theta for $\theta$.)

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BUTTON BUTTON Qo Q1 PI Do D Qo flip flops LED QP-LED Possible Problem • Clock set to 1

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Curved Surfaces Team Problem 2 The shape of the gate shown is defined by the equation $x = \frac{y^2}{4}$ m. The width (into the paper) of the gate is w = 5 m. The depth of the water to the right of the gate is 4 m. Find the magnitude and direction of (a) the horizontal force component on the gate, and (b) the vertical force component on the gate.

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BEST MATCH

A voltage of v(t) = 8 sin(500t + 90Â°) is applied to a parallel combination of two capacitors, 40nF and 80nF. What will be the current through the first capacitor?

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BEST MATCH

Identify the exponent and base in each of the following. (i) $(-1)^9$ (iv) $(ab)^n$ (ix) $(\frac{p}{q})^4$ (ii) $2^{100}$ (vi) $(\frac{-6}{11})^8$ (iii) $(-19)^{22}$ (vii) $a^{-mn}$ (x) $(-\frac{1}{x})^6$ (xi) $(\frac{x}{y})^m$

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steven r.